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2 years ago

Note: Figure is not drawn to scale.

Mathematics

1 answer:

zaharov [31]2 years ago

6 0

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of kite = (product of diagonals)/2

Area of kite = (10 * 14) / 2 = 70 in²

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

Find out more on equation at: brainly.com/question/2972832

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2 + 0.25x<br><br> What does the second term of the expression represent?

LekaFEV [45]

Is there any more to the question than this?

3 0

3 years ago

Substitution for {2x-3y=11 and -x + 2y = -6

Svetradugi [14.3K]

Step-by-step explanation:

-x+2y=-6

x-2y=6

x=2y+6

substitute in 2x-3y=11 gives us 2(2y+6)-3y=11

4y+12-3y=11

y=-1

-x+2(-1)=-6

-x=-4

x=4

7 0

3 years ago

3<br>Find the value of a <br>in the equation,(3+4√3)(2-a√3)=-18+2√3

ankoles [38]

Given:

The equation is:

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

To find:

The value of a.

Solution:

We have,

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

On simplification, we get

$(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}$

$(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}$

On comparing both sides, we get

$6-12a=-18$

$-12a=-18-6$

$a=\dfrac{-24}{-12}$

$a=2$

And,

$8-3a=2$

$-3a=2-8$

$a=\dfrac{-6}{-3}$

$a=2$

Therefore, the value of a is 2.

3 0

2 years ago

Last week, Max earned a total of $162 working at two jobs. He worked 6 hours at his grandfather's store and 10 hours at the loca

VMariaS [17]

The choices are missing but we can find the right equation from the given information

The equation that models this situation is 6 g + 10 m = 162

Step-by-step explanation:

The given is:

Max earned a total of $162 working at two jobs
He worked 6 hours at his grandfather's store
He worked 10 hours at the local movie theater
g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater

We need to write an equation models this situation

∵ g represents the hourly rate paid by Max's grandfather

∵ He worked 6 hours at his grandfather's store

∴ He earned from his grandfather = 6 × g = 6 g dollars

∵ m represents the hourly rate paid by the movie theater

∵ He worked 10 hours at the local movie theater

∴ He earned from the local movie theater = 10 × m = 10 m dollars

Add 6 g and 10 m to find his total earning

∵ His total earning = 6 g + 10 m

∵ Max earned a total of $162

- Equate his total earning by 162

∴ 6 g + 10 m = 162

The equation that models this situation is 6 g + 10 m = 162

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#LearnwithBrainly

6 0

3 years ago

The volume of a sphere is 972(pi)ft3.

pav-90 [236]

Here are some simple equations that can be a life saver with this stuff :

vol of a sphere =

$v = \frac{3}{4} \pi \: {r}^{3}$

Circumference =

$2 \times \pi \times r$

sorry this might not be very helpful. I haven't don't this since last year. You basically have to work backwards. so plug in 972 for V and then do (3/4)×3.14.

then take the answer u got for ^^ and divide it by 2? not sure.

7 0

3 years ago